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Finding the Fourth Proportional to 705.16, 973.12 and 394.66

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Solution

The fourth proportional to 705.16, 973.12 and 394.66 is: 544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.16 : 973.12 = 394.66 : x
  2. Step 2: Convert to fraction form
    705.16/973.12 = 394.66/x
  3. Step 3: Cross multiply
    705.16x = 973.12 × 394.66
  4. Step 4: Simplify right side
    705.16x = 384,051.54
  5. Step 5: Solve for x
    x = 384,051.54/705.16
  6. Step 6: Final answer
    x = 544.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.